Magnetic induction of high angular momentum pairing symmetry

We show that two (Formula presented)-wave components of the order parameter are induced by the internal orbital motion of (Formula presented)-wave pairing electrons in the presence of a magnetic field without assuming additional pairing interactions. Near a (Formula presented)-wave vortex center, the (Formula presented)-wave components with a relative phase (Formula presented) have an opposite winding number with respect to the dominant (Formula presented)-wave component. The spatial dependence of the magnetically induced (Formula presented)-wave components is the same as that of an induced (Formula presented)-wave component by spatial variation of the (Formula presented)-wave component and each (Formula presented)-wave component has a fourfold symmetry. Therefore, the vortex has an eight-lobe profile.